Under Hypotheses (H_{0}) and (H_{1}), a random variable has the following probability density functions Choosing (H_{0}) when

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Under Hypotheses \(H_{0}\) and \(H_{1}\), a random variable has the following probability density functionsimage text in transcribed

Choosing \(H_{0}\) when \(H_{1}\) is true costs twice as much as choosing \(H_{1}\) when \(H_{0}\) is true. Correct choices cost nothing. Find the minimax strategy for deciding between the two hypotheses.

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